Answer:
The slope is 2/3 and the function is y=2/3x which is a direct variation function.
Step-by-step explanation:
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m= (4-2)/(6-3)
= 2/3
The slope of the line is 2/3
The equation of the line is
y-y1 = m(x-x1)
y-2 = 2/3(x-3)
Distribute
y-2 = 2/3x -2
Add 2 to each side
y-2+2 = 2/3x -2+2
y = 2/3x
This is a direct variation function
Let x = -6
y = 2/3(-6)
y = -4
(-6,-4)
Answer:
it could be 1/1 or 2/2 or 3/3 or 4/4 or 5/5 or 6/6 it is the same thing just put the number like how i did depending on the question
Step-by-step explanation:
Answer:
Answer choice a is correct, the answer would be 4.
Step-by-step explanation:
The histogram shows that the bin from 1-3 has a height of 4 shots, and all of the bins to the right include values of ≥4.
The question asks for the number of games that had less than 4 shots, which means that and number of shots greater than or equal to 4 would not be counted. Thus, only the first bin is included in the answer.
Every point on a line satisfies the equation of that line.
If two lines intersect at one point, that point is a point on both lines, so it must satisfy both lines. Since two different lines can intersect at most at one point, that point is the only point that makes the two equations true.
Answer:
(a) 3 years FV=$4,221.80
(b) 6 years FV=$5,092.46
(c) 9 years FV=$6,142.69
Step-by-step explanation:
The formula for continuously compounded interest is
FV = PV x e^(i x t)
where,
FV=future value of the investment,
PV= present value,
i = stated interest rate,
t = time in years,
e= mathematical constant approximated as 2.7183.
In this case,
PV=$3,500
i = 6.25%
(a) 3 years
FV = PV x e^(i x t)
FV = $3,500 x e^(6.25%x3)
FV=$4,221.80
(b) 6 years
FV = $3,500 x e^(6.25%x6)
FV=$5,092.46
(c) 9 years
FV = $3,500 x e^(6.25%x9)
FV=$6,142.69
